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Self-Dual Codes and Invariant Theory
One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.
Pro SQL Server 2005 Database Design and Optimization
Pro SQL Server 2005 Database Design and Optimization will teach you effective strategies for designing proper databases. It covers everything from how to gather business requirements to logical data modeling and normalization. It then shows you how to implement your design on SQL Server 2005. The authors also describe how to optimize and secure access to this data, covering indexing strategies, SQL design and optimization, and strategies for increased scalability to support large numbers of concurrent users. They provide in-depth advice on optimal code distribution in SQL Server 2005 applications, in the wake of innovations to be able to use .NET code in the database itself. This essential book will ensure that projects have a well-designed database and secure, optimized data access strategies right from the start.
Modern cryptography ; Vol.1 : A classical introduction to informational and mathematical principle
This book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms. The theory stems from technology. Based on Shannon's information theory, this book systematically introduces the information theory, statistical characteristics and computational complexity theory of public key cryptography, focusing on the three main algorithms of public key cryptography, RSA, discrete logarithm and elliptic curve cryptosystem.
